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Finding the Fourth Proportional to 102,706.20, 153,840.60 and 83,023.20

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Solution

The fourth proportional to 102,706.20, 153,840.60 and 83,023.20 is: 124,358.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,706.20 : 153,840.60 = 83,023.20 : x
  2. Step 2: Convert to fraction form
    102,706.20/153,840.60 = 83,023.20/x
  3. Step 3: Cross multiply
    102,706.20x = 153,840.60 × 83,023.20
  4. Step 4: Simplify right side
    102,706.20x = 12,772,338,901.92
  5. Step 5: Solve for x
    x = 12,772,338,901.92/102,706.20
  6. Step 6: Final answer
    x = 124,358.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.